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From Invariant Curves to Strange Attractors

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Abstract:

We prove that simple mechanical systems, when subjected to external periodic forcing, can exhibit a surprisingly rich array of dynamical behaviors as parameters are varied. In particular, the existence of global strange attractors with fully stochastic properties is proved for a class of second order ODEs.

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Authors and Affiliations

  1. Dept. of Math., University of Arizona, Tucson, AZ 85721, USA. E-mail: dwang@math.arizona.edu, , , , , , US

    Qiudong Wang

  2. Courant Institute of Mathematical Sciences, 251 Mercer St., New York, NY 10012, USA.¶E-mail: lsy@cims.nyu.edu, , , , , , US

    Lai-Sang Young Young

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  1. Qiudong Wang
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  2. Lai-Sang Young Young
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Received: 10 January 2001 / Accepted: 10 July 2001

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Wang, Q., Young, LS. From Invariant Curves to Strange Attractors. Commun. Math. Phys. 225, 275–304 (2002). https://doi.org/10.1007/s002200100582

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  • DOI: https://doi.org/10.1007/s002200100582

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